If the perimeter of a semi …

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If the perimeter of a semi circular park is 72m,find the area and radius.

Posted by Adarsh Sinha 5 years, 11 months ago

CBSE > Class 07 > Mathematics

1 answers

Yogita Ingle 5 years, 11 months ago

The perimeter of the semi circular park is {tex}P=2r+\pi r{/tex}

We have given, P=72

{tex}P=r(2+\pi){/tex}

{tex}72=r(2+3.14){/tex}

{tex}72=r(5.14){/tex}

{tex}r=\frac{72}{5.14}{/tex}

r=14

The radius of the semi circular park is 14 meter.

The area of the semi circular park is {tex}A=\frac{\pi r^2}{2}{/tex}

{tex}A=\frac{3.14\times 14^2}{2}{/tex}

{tex}A=\frac{3.14\times 196}{2}{/tex}

{tex}A=3.14\times98{/tex}

{tex}A=307.72m^2{/tex}

Therefore, The area of the semi circular park is 307.72 square meter.

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CBSE > Class 07 > Mathematics